Least Common Multiple of 1320/372, 6446/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1320/372, 6446/900 quickly i.e. 32230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1320/372, 6446/900 is 32230.

LCM(1320/372, 6446/900) = 32230

LCM of 1320/372, 6446/900

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 1320/372,6446/900

Given numbers are 1320/372,6446/900

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 1320,6446

Least Common Multiple of Numerators i.e. LCM of 1320,6446 is 386760.

GCF of Denominators means GCF of 372,900 as per the given fractions.

GCF of 372,900 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1320,6446

LCM of Fractions 1320/372,6446/900 is 32230

2 1320, 6446
11 660, 3223
60, 293

∴ So the LCM of the given numbers is 2 x 11 x 60 x 293 = 386760

Least Common Multiple of 1320,6446 with GCF Formula

Least Common Multiple of 1320,6446 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1320,6446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1320,6446) = 22

common factors(in case of two or more numbers have common factors) = 1

GCF(1320,6446) x common factors =22 x 1 = 22

LCM(1320,6446) = ( 1320 × 6446 ) / 22

LCM(1320,6446) = 8508720 / 22

LCM(1320,6446) = 386760


Lets's calculate GCF of 372,900

2 372, 900
2 186, 450
3 93, 225
31, 75

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 386760/12

Therefore the LCM of Fractions 1320/372,6446/900 is 32230

Greatest Common Factor of 372,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,900 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 372,900 . The biggest common factor number is the GCF number.
So the greatest common factor 372,900 is 12.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1320/372, 6446/900

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 1320/372, 6446/900?

Answer: LCM of Numerators as per given numbers 1320/372, 6446/900 is

LCM of Numerators i.e. for 1320,6446 is 386760

GCF of denominators i.e. for 372,900 is 12.

Thus, LCM of Fractions is 32230.Finally, LCM of Fractions for 1320/372, 6446/900 is 32230.